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12200033988 = 22321922773389
BaseRepresentation
bin10110101110010110…
…11011111011000100
31011111020111221101200
423113023123323010
5144441202041423
65334333022500
7611220402132
oct132713337304
934436457350
1012200033988
1151a066811a
122445924a30
1311c573142c
1483a40c752
154b60d4d43
hex2d72dbec4

12200033988 has 108 divisors (see below), whose sum is σ = 32674643820. Its totient is φ = 3837601152.

The previous prime is 12200033987. The next prime is 12200034019. The reversal of 12200033988 is 88933000221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7645403844 + 4554630144 = 87438^2 + 67488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200033987) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3598198 + ... + 3601586.

Almost surely, 212200033988 is an apocalyptic number.

12200033988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200033988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337321910).

12200033988 is an abundant number, since it is smaller than the sum of its proper divisors (20474609832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12200033988 is a wasteful number, since it uses less digits than its factorization.

12200033988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12200033988 in words is "twelve billion, two hundred million, thirty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 277 342 361 554 684 722 831 1083 1108 1444 1662 2166 2493 3249 3324 3389 4332 4986 5263 6498 6778 9972 10167 10526 12996 13556 15789 20334 21052 30501 31578 40668 47367 61002 63156 64391 94734 99997 122004 128782 189468 193173 199994 257564 299991 386346 399988 579519 599982 772692 899973 938753 1159038 1199964 1223429 1799946 1877506 2318076 2446858 2816259 3599892 3670287 3755012 4893716 5632518 7340574 8448777 11010861 11265036 14681148 16897554 17836307 22021722 33795108 35672614 44043444 53508921 71345228 107017842 160526763 214035684 321053526 338889833 642107052 677779666 1016669499 1355559332 2033338998 3050008497 4066677996 6100016994 12200033988